The 22-year-old Cobain, who was once an intern at the magazine, sat down for a Q&A chat about her late father and to discuss the upcoming documentary about him, Kurt Cobain: Montage of Heck. In addition to talking about his legacy and her memories of him, she admits, "I don't really like Nirvana that much."

"Sorry, promotional people," she continued in the interview. "I'm more into Mercury Rev, Oasis, Brian Jonestown Massacre. The grunge scene is not what I'm interested in. But 'Territorial Pissings' is a f---ing great song. And 'Dumb' -- I cry every time I hear that song. It's a stripped-down version of Kurt's perception of himself -- of himself on drugs, off drugs, feeling inadequate to be titled the voice of a generation."

Cobain, whose mother is Courtney Love, said it would have been "awkward" had she been a fan of her dad's music growing up. "I was around 15 when I realized he was inescapable," she recalled. "Even if I was in a car and had the radio on, there's my dad."

She also addresses the legacy of her dad (April 5 marked the 21st anniversary of his suicide at the age of 27), calling him "larger than life." "Our culture is obsessed with dead musicians," she said. "We love to put them on a pedestal. If Kurt had just been another guy who abandoned his family in the most awful way possible ... But he wasn't. He inspired people to put him on a pedestal, to become Saint Kurt. He became even bigger after he died than he was when he was alive. You don't think it could have gotten any bigger. But it did."